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230506100 = 2252111941269
BaseRepresentation
bin11011011110100…
…11111001110100
3121001201220220222
431233103321310
5433002143400
634512313512
75466161306
oct1557237164
9531656828
10230506100
11109129710
1265242898
13389a8756
1422883976
1515383185
hexdbd3e74

230506100 has 144 divisors (see below), whose sum is σ = 590587200. Its totient is φ = 77184000.

The previous prime is 230506099. The next prime is 230506103. The reversal of 230506100 is 1605032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230506103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 856766 + ... + 857034.

It is an arithmetic number, because the mean of its divisors is an integer number (4101300).

Almost surely, 2230506100 is an apocalyptic number.

230506100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230506100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295293600).

230506100 is an abundant number, since it is smaller than the sum of its proper divisors (360081100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230506100 is a wasteful number, since it uses less digits than its factorization.

230506100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 230506100 is about 15182.4273421611. The cubic root of 230506100 is about 613.1416349814.

The spelling of 230506100 in words is "two hundred thirty million, five hundred six thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 41 44 50 55 76 82 95 100 110 164 190 205 209 220 269 275 380 410 418 451 475 538 550 779 820 836 902 950 1025 1045 1076 1100 1345 1558 1804 1900 2050 2090 2255 2690 2959 3116 3895 4100 4180 4510 5111 5225 5380 5918 6725 7790 8569 9020 10222 10450 11029 11275 11836 13450 14795 15580 17138 19475 20444 20900 22058 22550 25555 26900 29590 34276 38950 42845 44116 45100 51110 55145 56221 59180 73975 77900 85690 102220 110290 112442 121319 127775 147950 171380 209551 214225 220580 224884 242638 255550 275725 281105 295900 419102 428450 485276 511100 551450 562210 606595 838204 856900 1047755 1102900 1124420 1213190 1405525 2095510 2305061 2426380 2811050 3032975 4191020 4610122 5238775 5622100 6065950 9220244 10477550 11525305 12131900 20955100 23050610 46101220 57626525 115253050 230506100